https://doi.org/10.1140/epja/s10050-021-00419-6
Regular Article - Theoretical Physics
Systematic study on 
-decay half-lives: a new dependency of effective sharp radius on -decay energy
1
Department of Physics, Faculty of Science, Hakim Sabzevari University, P. O. Box 397, Sabzevar, Iran
2
Department of Physics, Faculty of Science, University of Mazandaran, P.O. Box 47415-416, Babolsar, Iran
3
Department of Physics, Faculty of Science, Ferdowsi University of Mashhad, P.O. Box 91775-1436, Mashhad, Iran
Received:
30
September
2020
Accepted:
4
March
2021
Published online:
25
March
2021
Within the framework of the proximity formalism, we present a systematic study to analyze the effects of the -decay energy through the effective sharp radius parameter on the -decay half-lives of 227 nuclei in the range 
. Wentzel-Kramers-Brillouin (WKB) calculations with the proximity potential Zhang 2013 are carried out to obtain the theoretical values of the -decay half-lives. In this work, we introduce a new 
-dependent (QD) form of the effective sharp radius which significantly reduces the standard deviation of estimated half-lives using the Zhang 2013 model in comparison with the corresponding experimental data in our selected mass range. We evaluate the validity of this simple formula using the Geiger-Nuttall (G-N) plots and semi-empirical formulas. The modified form of the Zhang 2013 model is also found to work well in -decay studies of superheavy nuclei (SHN) with 
. Our results reveal that the calculated half-lives for the use of new proposed form of the effective sharp radius in the proximity potential can reproduce the closed-shell effects at neutron magic number 
and 
.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021
